Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach

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dc.contributor.authorYildirim, A.
dc.contributor.authorSaadatnia, Z.
dc.contributor.authorAskari, H.
dc.contributor.authorKhan, Y.
dc.contributor.authorKalamiYazdi, M.
dc.date.accessioned2019-10-27T21:35:21Z
dc.date.available2019-10-27T21:35:21Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. The Hamiltonian approach is then extended to the second and third orders to find more precise results. The accuracy of the results obtained is examined through time histories and error analyses for different values for the initial conditions. Excellent agreement of the approximate frequencies and the exact solution is demonstrated. It is shown that this method is powerful and accurate for solving nonlinear conservative oscillatory systems. (C) 2011 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.aml.2011.05.040
dc.identifier.endpage2051en_US
dc.identifier.issn0893-9659
dc.identifier.issn0893-9659en_US
dc.identifier.issue12en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2042en_US
dc.identifier.urihttps://doi.org/10.1016/j.aml.2011.05.040
dc.identifier.urihttps://hdl.handle.net/11454/45840
dc.identifier.volume24en_US
dc.identifier.wosWOS:000294886000015en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHamiltonian approachen_US
dc.subjectNonlinear oscillator with discontinuityen_US
dc.titleHigher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approachen_US
dc.typeArticleen_US

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